Find the angle $ \alpha $ of a rhombus if side $a = 16$ and height $h = \frac{ 107 }{ 8 }$.
Answer
$\alpha = 56.7136^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ h = \frac{ 107 }{ 8 } $ and $ a = 16 $ we have:
$$ \sin \left( \alpha \right) = \dfrac{ \frac{ 107 }{ 8 } }{ 16 } $$ $$ \sin \left( \alpha \right) = \frac{ 107 }{ 128 } $$ $$ \alpha = \arcsin\left( \frac{ 107 }{ 128 } \right) $$ $$ \alpha = 56.7136^o $$This page was created using
Rhombus Calculator